1
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

If the coordinates of one end of a diameter of the circle $${x^2} + {y^2} + 4x - 8y + 5 = 0$$ is (2, 1), the coordinates of the other end is

A
($$-$$6, $$-$$7)
B
(6, 7)
C
($$-$$6, 7)
D
(7, $$-$$6)
2
WB JEE 2025
MCQ (Single Correct Answer)
+2
-0.5
Change Language

Let $x-y=0$ and $x+y=1$ be two perpendicular diameters of a circle of radius $R$. The circle will pass through the origin if $R$ is equal to

A
$\frac{1}{2}$
B
$\frac{1}{\sqrt{2}}$
C
$\frac{1}{\sqrt{3}}$
D
$\frac{1}{3}$
3
WB JEE 2025
MCQ (Single Correct Answer)
+2
-0.5
Change Language

The number of common tangents to the circles $x^2+y^2-4 x-6 y-12=0, x^2+y^2+6 x+18 y+26=0$ is

A
2
B
3
C
4
D
5
4
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25
Change Language

Chords $$\mathrm{AB}$$ & $$\mathrm{CD}$$ of a circle intersect at right angle at the point $$\mathrm{P}$$. If the length of AP, PB, CP, PD are 2, 6, 3, 4 units respectively, then the radius of the circle is

A
4 units
B
$$\frac{\sqrt{65}}{2}$$ units
C
$$\frac{\sqrt{67}}{2}$$ units
D
$$\frac{\sqrt{66}}{2}$$ units
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